A novel efficient substitution-box design based on firefly algorithm and discrete chaotic map

• Main Authors: A. Ahmed, Hussam, Mohamad Fadli, Zolkipli, Ahmad, Musheer
• Format: Article
• Language: English
• Published: Springer London 2018
• Subjects: QA Mathematics; QA75 Electronic computers. Computer science; QA76 Computer software
• Online Access: http://umpir.ump.edu.my/id/eprint/21968/1/A%20novel%20efficient%20substitution-box%20design1.pdf; http://umpir.ump.edu.my/id/eprint/21968/; https://doi.org/10.1007/s00521-018-3557-3

Substitution boxes are essential nonlinear components responsible to impart strong confusion and security in most of modern symmetric ciphers. Constructing efficient S-boxes has been a prominent topic of interest for security experts. With an aim to construct cryptographically efficient S-box, a novel scheme based on firefly (FA) optimization and chaotic map is proposed in this paper. The anticipated approach generates initial S-box using chaotic map. The meta-heuristic FA is applied to find notable configuration of S-box that satisfies the criterions by guided search for near-optimal features by minimizing fitness function. The performance of proposed approach is assessed through well-established criterions such as bijectivity, nonlinearity, strict avalanche criteria, bit independence criteria, differential uniformity, and linear approximation probability. The obtained experimental results are compared with some recently investigated S-boxes to demonstrate that the proposed scheme has better proficiency of constructing efficient S-boxes.